Barry has been watching the geese that live in his neighborhood. the number of geese changes each week. n f(n) 1 56 2 28 3 14 4 7 which function best shows the relationship between n and f(n)? a. f(n) = 28(0.5)^n b. f(n) = 56(0.5)^n - 1 c. f(n) = 56(0.5)^n d. f(n) = 112(0.5)^n - 1

The correct answer is:
B.

Explanation:
In order to find the appropriate equation for this example, we need to find one that works for the first point (1, 56).
This means when we put 1 in for n in the equation, we need to get 56 as an answer.
If you place 1 in for n in each of the equations, only B gives you 56.
f(n) = 56(0.5)ⁿ⁻¹,
f(n) = 56(0.5)⁰,
f(n) = 56(1),
f(n) = 56.